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Finding the Fourth Proportional to 189,841.80, 284,762.70 and 169,624.20

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Solution

The fourth proportional to 189,841.80, 284,762.70 and 169,624.20 is: 254,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,841.80 : 284,762.70 = 169,624.20 : x
  2. Step 2: Convert to fraction form
    189,841.80/284,762.70 = 169,624.20/x
  3. Step 3: Cross multiply
    189,841.80x = 284,762.70 × 169,624.20
  4. Step 4: Simplify right side
    189,841.80x = 48,302,645,177.34
  5. Step 5: Solve for x
    x = 48,302,645,177.34/189,841.80
  6. Step 6: Final answer
    x = 254,436.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.